Solve the following linear programming problem graphically:

Maximize

Upper $Z$ equals $4$ Upper $X1$ plus $4$ Upper $X2$

Subject $to$:

$3$Upper $X1$plus$5$Upper $X2$

less than $or$ equals $150$

Upper $X1$minus$2$Upper $X2$

less than $or$ equals $10$

$5$Upper $X1$plus$3$Upper $X2$

less than $or$ equals $150$

Upper $X1,$ Upper $X2$

greater than $or$ equals $0$

Part $2$

$1$